Foundations of Science 3 (2):313-340 (1998)

Diederik Aerts
Vrije Universiteit Brussel
Sonja Smets
University of Amsterdam
We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements in the theory are retained. This attitude integrates the inconsistency and leads to a paraconsistent calculus; therefore we will call it the paraconsistent attitude. (3) In the third attitude, both elements of inconsistency are considered to be false and the ‘real situation’ is considered something different that can not be described by the theory constructively. This indicates the incompleteness of the theory, and leads us to a paracomplete calculus; therefore we call it the paracomplete attitude. We illustrate these three attitudes by means of two ‘paradoxical’ situations in quantum mechanics, the wave-particle duality and the situation of non locality.
Keywords inconsistency  non-locality  paraconsistent  paracomplete  paradox  quantum mechanics  wave-particle duality  world views
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Reprint years 1999, 2004
DOI 10.1023/A:1009686326442
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References found in this work BETA

QED: The Strange Theory of Light and Matter.Richard P. Feynman - 1985 - Science and Society 51 (2):211-214.
On the Origin of Probabilities in Quantum Mechanics: Creative and Contextual Aspects.Diederik Aerts, Bob Coecke & Sonja Smets - 1999 - In S. Smets J. P. Van Bendegem G. C. Cornelis (ed.), Metadebates on Science. Vub-Press & Kluwer. pp. 291--302.

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Citations of this work BETA

A Theory of Scientific Study.Robert Luk - 2017 - Foundations of Science 22 (1):11-38.
A Theory of Concepts and Their Combinations I: The Structure of the Sets of Contexts and Properties.Diederik Aerts & Liane Gabora - 2005 - Aerts, Diederik and Gabora, Liane (2005) a Theory of Concepts and Their Combinations I.

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